INTRODUCTION TO ERGODIC THEORY by Walters, Peter ISBN 0387951520
From Student Book World
|
[edit] INTRODUCTION TO ERGODIC THEORY
Provides an introduction to ergodic theory, suitable for readers knowing basic measure theory. Summarizing the mathematical prerequisites in Chapter 0, this book describes several examples, which are studied in detail when new properties are presented.
This text provides an introduction to ergodic theory suitable for readers knowing basic measure theory. The mathematical prerequisites are summarized in Chapter 0. It is hoped the reader will be ready to tackle research papers after reading the book. The first part of the text is concerned with measure-preserving transformations of probability spaces; recurrence properties, mixing properties, the Birkhoff ergodic theorem, isomorphism and spectral isomorphism, and entropy theory are discussed. Some examples are described and are studied in detail when new properties are presented. The second part of the text focuses on the ergodic theory of continuous transformations of compact metrizable spaces. The family of invariant probability measures for such a transformation is studied and related to properties of the transformation such as topological traitivity, minimality, the size of the non-wandering set, and existence of periodic points. Topological entropy is introduced and related to measure-theoretic entropy. Topological pressure and equilibrium states are discussed, and a proof is given of the variational principle that relates pressure to measure-theoretic entropies. Several examples are studied in detail. The final chapter outlines significant results and some applications of ergodic theory to other branches of mathematics.
[edit] Book Details
[edit] Title
INTRODUCTION TO ERGODIC THEORY
[edit] Author
Walters, Peter
[edit] ISBN
0387951520
[edit] Published
30/11/2000
[edit] Publisher
Springer-Verlag New York Inc.
[edit] Binding
paperback
[edit] Retail Price
38.5 (GBP)
[edit] Typical Price Online
34.65 (GBP)
[edit] Buy Book Online
If you wish to purchase INTRODUCTION TO ERGODIC THEORY, written by Walters, Peter and published by Springer-Verlag New York Inc. on 30/11/2000 then we have listed a few select online book retailers who can provide good value and service.
| ISBN 0387951520 |
|---|
